sages discovered that every vibrant aspect of Nature has a divine
characteristic, as fundamentally everything is divine. All the
vibratory powers of Nature emerge from the subtlest vibration,
represented by (OM). Their permutation and combination give rise
to the infinite phenomena of the universe. The 51 letters of the
Sanskrit alphabet are a symbolic representation of the major vibratory
states originating from the primeval OM.
Sri Ganesha, whose form is a figurative representation of OM,
is considered to have 51 manifestations, corresponding to the
letters of the Sanskrit alphabet and symbolizing the divine powers
of these vibrant states. Of these 51 forms 32 are considered to
be very important aspects of Sri Ganesha for invocation to realize
certain aspirations. Among the thirty-two forms, sixteen forms
are considered to be most powerful. These are known as Shodasha
Ganapathi-s. Special body complexions and insignia are attributed
to these forms.